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MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Determine ddx[sec⁡(x)]\dfrac{d}{dx}\bigl[\sec(\sqrt{x})\bigr] for x>0x>0. (a) sec⁡(x)tan⁡(x)2x\dfrac{\sec(\sqrt{x})\tan(\sqrt{x})}{2x} (b) sec⁡(x)tan⁡(x)\sec(\sqrt{x})\tan(\sqrt{x}) (c) sec⁡(x)tan⁡(x)2x\dfrac{\sec(\sqrt{x})\tan(\sqrt{x})}{2\sqrt{x}} (d) sec⁡2(x)2x\dfrac{\sec^{2}(\sqrt{x})}{2\sqrt{x}}

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